The main purpose of this paper is to
address the non-uniqueness problem of weak solutions for (generalized) MHD equations.
Motivated by the above progress for the NSE and the ideal MHD,
it is natural to ask whether the non-uniqueness of weak solutions holds for
the MHD equations,
or, more generally, for the generalized MHD system (REF )
with \({\alpha }_i\)  below the Lions exponent.
If so, would there be some relationship between the non-uniqueness of solutions to the
ideal MHD and generalized MHD?
The major difficulty here,
as in the context of NSE [1]}, is to beat the viscosity and resistivity
\((-\Delta )^{{\alpha }_i}\) , \(i=1,2\) ,
which are greater for larger exponents \({\alpha }_i\) .
